*Suppose users share a 100 Mbps link. Also suppose that each user requires 6 Mbps when transmitting, but each user transmits 7 percent of the time. (See the discussion of packet switching versus circuit switching in Section 1.3)

1. When circuit switching is used, how many users can be supported?

2. For the remainder of this problem, suppose packet switching is used. Find the probability that a given user is transmitting.

3. Suppose there are 200 users, Find the probability that at any given time, exactly n users are transmitting simultaneously. (Hint: Use the binomial distribution).

4. Find the probability that there are more users transmitting simultaneously than the link can handle.